8 citations · 10 across the 3 of their papers we have counts for
3 papers
q-bio.TO2021★ 2 cited
A parameter study on optimal scaffolds in a simple model for bone regeneration
Patrick Dondl, Marius Zeinhofer
We propose a simple model for scaffold aided bone regeneration. In this model, only macroscopic quantities, e.g., locally averaged osteoblast densities, are considered. This allows…
math.AP2021
An Efficient Model for Scaffold-Mediated Bone Regeneration
Patrick Dondl, Patrina S. P. Poh, Marius Zeinhofer
We present a three dimensional, time dependent model for bone regeneration in the presence of porous scaffolds to bridge critical size bone defects. Our approach uses homogenized q…
math.NA2020★ 8 cited
Deep Ritz revisited
Johannes Müller, Marius Zeinhofer
Recently, progress has been made in the application of neural networks to the numerical analysis of partial differential equations (PDEs). In the latter the variational formulation…